Results 31 to 40 of about 9,581 (250)
An Approximation Formula for Nielsen’s Beta Function Involving the Trigamma Function
Mathematics, 2022 We prove that the function σ(s) defined by β(s)=6s2+12s+53s2(2s+3)−ψ′(s)2−σ(s)2s5,s>0, is strictly increasing with the sharp bounds ...
Mansour Mahmoud, Hanan Almuashi
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A completely monotone function related to the Gamma function
Journal of Computational and Applied Mathematics, 2001 The authors consider the function \[ f(z) = {\log{\Gamma(z+1)} \over z\log{z}} , \] which is holomorphic in \(\mathbb C \setminus (-\infty,0]\), and they show that the reciprocal function \(1/f\) can be represented as a Stieltjes transform. From this it follows that the derivative \(f'\) is completely monotone, that is \((-1)^{n-1}f^{(n)}(x) \geq 0 ...
Berg, Christian, Pedersen, Henrik L.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe +7 more
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Interplay between reflection positivity and crossing symmetry in the bootstrap approach to CFT
Journal of High Energy Physics, 2022 Crossing symmetry (CS) is the main tool in the bootstrap program applied to CFT. This consists in an equality which imposes restrictions on the CFT data of a model, i.e., the OPE coefficients and the conformal dimensions.
Leandro Lanosa +2 more
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Complete monotonicity involving some ratios of gamma functions
Journal of Inequalities and Applications, 2017 In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
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Interconversion Relationships for Completely Monotone Functions
SIAM Journal on Mathematical Analysis, 2014 In linear viscoelasticity, the analytically valid Volterra convolution interconversion relationships between the relaxation modulus $G$ and the corresponding creep compliance (retardation) modulus $J$ play a fundamental role. They allow $J$ to be determined from both theoretical and experimental estimates of $G$ and conversely.
Loy, Richard, Anderssen, Robert
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
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Advanced Engineering Materials, EarlyView.Disordered (Fe50Co50)1−xPtx thin films exhibit a pronounced anomalous Nernst effect (ANE) with a strong composition dependence on both rigid and flexible substrates. The transverse thermoelectric response peaks near 22.5 at.% Pt, accompanied by enhanced αxy/σxy scaling, thermal transport, and ANE sensitivity.
Mojtaba Mohammadi +2 more
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Distributional boundary values of analytic functions and positive definite distributions
Nonlinear Analysis, 2015 We propose necessary and sufficient conditions for a distribution (generalized function) fof several variables to be positive definite. For this purpose, certain analytic extensions of f to tubular domains in complex space Cn are studied. The main result
Saulius Norvidas
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